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Sir Isaac Newton is one of the world's most well-known mathematicians.
Leonhard Euler is widely considered one of the greatest mathematicians.

A mathematician is a person whose primary area of study and/or research is the field of [mathematics] . Mathematicians are concerned with particular problems related to [logic] , [space] , transformations, [number] s and more general ideas which encompass these concepts.
Some notable mathematicians include [Sir Isaac Newton] , [Johann Carl Friedrich Gauss] , [Archimedes of Syracuse] , [Leonhard Paul Euler] , [Georg Friedrich Bernhard Riemann] , [Euclid of Alexandria] , [Jules Henri Poincaré] , [Srinivasa Ramanujan] , [David Hilbert] , [Joseph-Louis Lagrange] , [Georg Cantor] , [Évariste Galois] and [Pierre de Fermat] .

Some scientists who research other fields are also considered mathematicians if their research provides insights into mathematics—one notable example is [Edward Witten] . Conversely, some mathematicians may provide insights into other fields of research—these people are known as [applied mathematicians] . One of the world's best known mathematician is [Sir Isaac Newton] .

Mathematicians usually cover a breadth of topics within mathematics in their undergraduate education, and then proceed to specialize in topics of their choice at the graduate level. In some universities, a qualifying exam serves to test both the breadth and depth of a student's understanding of mathematics; the students who pass are permitted to work on a doctoral dissertation.

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